Position of eyes and hair goes wrong after exporting
before exporting you need to set their world orgin to the same as the body orgin.

1)select the body 
2)shift + s "cursor to selection"
3)select one of the other meshes(hair or eyes  or whatever order is not important)
4)shift + ctrl + alt + c(yes a crazy hot key) then select "origin to 3d cursor"
4a) you can alternatively just press space and do a search for "origin" and find it on the list
after that re-export your model...if that does not work, try to apply location, rotation, and scale...by selecting each object and using ctrl+a

I hope that helps, if not...just update here what the outcome was. It will help better diagnose the problem.